Question

a certain type of exercise can help a person burn fat and lose weight.each additional minute of this exercise burns an extra 20 calories per day.write a linear function that models the number of calories burned each day by x minutes of this exercise.by burning an additional 3500 calories, a person can lose 1 pond of fat.how many minutes of this particular exercise are needed to burn 1 pound of fat in 15 days? ( write a linear function that models the number of calories burned each day by x minutes of this exercise)

Answer 1

x minutes______________calories PER DAY
0______________________0
1_____________________30
2_____________________2*30
3_____________________3*30
.
.
n_____________________x*30

f(x)=30x

F(x) is how many calories per day for x minutes of the exercise.
Now is F(x) in CALORIES per DAY which depends on x.
Given also 3500 calories = 1 pound of fat,
(1/3500)*f(x) gives how many POUNDS per DAY.

How can this be formed into a uniform rates relationship?
R*T=M burn rate, time in days, mass of fat in pounds.
(1/3500)*f(x)*t=m changing the names of the variables for distinction;
Let t=10, m=1;
(1/3500)f(x)*10=1
REMEMBER that f(x)=30x
and x was minutes of exercise in the any one day.
(1/3500)*30x*10=1

now just solve for x

Answer 2

so the answer is 1/3500*30x*10=1?